A stable precessing quasi-geostrophic vortex model with distributed potential vorticity

11 pages, 2 figures, 1 appendix, supplementary movies https://doi.org/10.1017/jfm.2020.130

Detalles Bibliográficos
Autor: Viúdez, Álvaro
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2020
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/203586
Acceso en línea:http://hdl.handle.net/10261/203586
Access Level:acceso abierto
Palabra clave:Baroclinic flows
Quasi-geostrophic flows
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spelling A stable precessing quasi-geostrophic vortex model with distributed potential vorticityViúdez, ÁlvaroBaroclinic flowsQuasi-geostrophic flows11 pages, 2 figures, 1 appendix, supplementary movies https://doi.org/10.1017/jfm.2020.130The permanent precession of a baroclinic geophysical vortex is reproduced, under he quasi-geostrophic approximation, using three potential vorticity anomaly modes in spherical geometry. The potential vorticity modes involve the spherical Bessel functions of the first kind jl(ρ)and the spherical harmonics Yml(θ, φ), where l is the degree, m is the order, and(ρ, θ, φ)are the spherical coordinates. The vortex precession is interpreted as the horizontal and circular advection by a large-amplitude background flow associated with the spherical modec0j0(ρ)of the small-amplitude zonal mode c2,0j2(ρ)Y02(θ) tilted by a small-amplitude mode c2,1j2(ρ)Y12(θ,φ), where {c0,c2,0,c2,1} are constant potential vorticity modal amplitudes. An approximate time-dependent, closed-form solution for the potential vorticity anomaly is given. In this solution the motion of the potential vorticity field is periodic but not rigid. The vortex precession frequencyω0depends linearly on the amplitudes c0 and c2,0 of the modal components of order 0, while the slope of the precessing axis depends on the ratio between the modal amplitude c2,1 and ω0.Partial support for this study was obtained through project RTI2018-100844-B-C33 (Spanish Ministry of Science, Innovation and UniversitiesWith the funding support of the ‘Severo Ochoa Centre of Excellence’ accreditation (CEX2019-000928-S), of the Spanish Research Agency (AEI)Peer reviewedCambridge University PressMinisterio de Ciencia, Innovación y Universidades (España)Agencia Estatal de Investigación (España)Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202020202020info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Postprintinfo:eu-repo/semantics/acceptedVersionhttp://hdl.handle.net/10261/203586reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/RTI2018-100844-B-C33https://doi.org/10.1017/jfm.2020.130Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/2035862026-05-22T06:33:51Z
dc.title.none.fl_str_mv A stable precessing quasi-geostrophic vortex model with distributed potential vorticity
title A stable precessing quasi-geostrophic vortex model with distributed potential vorticity
spellingShingle A stable precessing quasi-geostrophic vortex model with distributed potential vorticity
Viúdez, Álvaro
Baroclinic flows
Quasi-geostrophic flows
title_short A stable precessing quasi-geostrophic vortex model with distributed potential vorticity
title_full A stable precessing quasi-geostrophic vortex model with distributed potential vorticity
title_fullStr A stable precessing quasi-geostrophic vortex model with distributed potential vorticity
title_full_unstemmed A stable precessing quasi-geostrophic vortex model with distributed potential vorticity
title_sort A stable precessing quasi-geostrophic vortex model with distributed potential vorticity
dc.creator.none.fl_str_mv Viúdez, Álvaro
author Viúdez, Álvaro
author_facet Viúdez, Álvaro
author_role author
dc.contributor.none.fl_str_mv Ministerio de Ciencia, Innovación y Universidades (España)
Agencia Estatal de Investigación (España)
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Baroclinic flows
Quasi-geostrophic flows
topic Baroclinic flows
Quasi-geostrophic flows
description 11 pages, 2 figures, 1 appendix, supplementary movies https://doi.org/10.1017/jfm.2020.130
publishDate 2020
dc.date.none.fl_str_mv 2020
2020
2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Postprint
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/203586
url http://hdl.handle.net/10261/203586
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv #PLACEHOLDER_PARENT_METADATA_VALUE#
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/RTI2018-100844-B-C33
https://doi.org/10.1017/jfm.2020.130

dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.none.fl_str_mv Cambridge University Press
publisher.none.fl_str_mv Cambridge University Press
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
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